Fall Semester - 2013

Graduate Course Description

Course Title: Real Analysis
Unique Number: M381C (57575)
Time/Location of Lecture: MWF 12 noon - 1 pm, RLM 12.166
Instructor: Prof. Hans Koch

Brief description: We plan to cover much of Chapters 1-10 in the Wheeden-Zygmund book, and maybe Sobolev inequalities. This includes the topics listed on the Preliminary Exam Syllabus in Real Analysis.

Textbook:   R.L. Wheeden, A. Zygmund, Measure and Integral, Taylor & Francis, New York, 1977.

Some Other References:
G.B. Folland, Real Analysis, John Wiley, New York, 1999.
H.L. Royden, Real Analysis, MacMillan, New York, 1988.
W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1987.
E.M. Stein, R. Shakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, 2005.

Some online:
B.K. Driver, Measure Theory (Lecture Notes), 2000.
D.H. Sattinger, Measure Theory & Integration, 2004.
R.F. Bass, Real Analysis for Graduate Students: Measure and Integration, 2011.
W.P. Ziemer, Modern Real Analysis.
P. Cannarsa, T. D'Aprile, Lecture Notes on Measure Theory and Functional Analysis, 2007.
J.K. Hunter, Measure Theory, 2011.

Prerequisites: Familiarity with the subject matter of the undergraduate analysis course M365C, a syllabus of which can be found at the end of this page

Consent of Instructor   not required

First Day Handout:   Here

Homework:   1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.

Exams:   1, 2, 3

Old Exams, Fall 2012:   1, 2, 3

Basics about metric spaces:   Notes here

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